Properties of charmed and bottom hadrons in nuclear medium: Results for $Λ_c^+$ and $Λ_b$ hypernuclei

Abstract

This reports our recent studies on changes in properties of heavy hadrons containing at least a charm or a bottom quark in nuclear matter, and that the results for the $Λ^+_c$ and $Λ_b$ hypernuclei are studied quantitatively. Comparisons are made with the results for the $Λ$ hypernuclei studied previously in the same approach. It is shown that although the scalar and vector potentials for the $Λ$, $Λ_c^+$ and $Λ_b$ in the hypernuclei multiplet with the same baryon numbers are quite similar, the wave functions obtained, e.g., for $1s_{1/2}$ state, are very different. The $Λ^+_c$ probability density distribution in $^{209}_{Λ^+_c}$Pb is much more pushed away from the center than that for the $Λ$ in $^{209}_Λ$Pb due to the Coulomb force. On the contrary, the $Λ_b$ probability density distributions in $Λ_b$ hypernuclei are much larger near the origin than those for the $Λ$ in the $Λ$ hypernuclei due to its heavy mass. A possibility of $B^-$ nuclear bound (atomic) states is also briefly discussed.

12 pages, 7 embedded figures, uses PTP-Tex environment (all included), Invited talk presented at YITP-RCNP Workshop on "Chiral Restoration in Nuclear Medium", October 7-9, 2002, YITP Kyoto University, Japan, to be published in the proceedings